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Relaxation in shape-memory alloys—Part I. Mechanical model

Bhattacharya, K. and James, R. D. and Swart, P. J. (1997) Relaxation in shape-memory alloys—Part I. Mechanical model. Acta Materialia, 45 (11). pp. 4547-4560. ISSN 1359-6454. doi:10.1016/S1359-6454(97)00124-9.

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A variety of relaxation phenomena such as the stabilization of martensite, rubber-like behavior, evolving hysteresis loops and stabilization of interfaces have been observed in various shape-memory alloys. These effects adversely impact technological applications. Despite a great deal of experimental evidence, there is no consensus on the mechanism. However, there is universal agreement on certain fundamental aspects of these phenomena. Based on these areas of agreement, we propose a phenomenological, but predictive, model in this paper. This model is based on the framework of thermoelasticity augmented with an internal variable. In this part, we discuss the basic mechanical model and show that it reproduces the experimental observations remarkably well. In Part II of this paper, we extend this model to include thermal effects and use these models to propose new experiments in order to clarify longstanding issues.

Item Type:Article
Related URLs:
URLURL TypeDescription
Bhattacharya, K.0000-0003-2908-5469
James, R. D.0000-0001-6019-6613
Additional Information:© 1997 Acta Metallurgica Inc. Received 12 November 1996; accepted 27 March 1997. We gratefully acknowledge many useful and colorful discussions with David Lieberman. Part of this work was conducted when KB and PJS held post-doctoral positions at the Courant Institute. This work was partially supported through grants from the AFOSR (KB, PJS:90-0090 at Courant, KB:F49620-95-1-0109 at Caltech, RDJ:91-0301), ARO(KB:DAAL03-92-G-0011 at Courant, PJS:DAAH04-95-1-0100 at Courant), DOE (PJS:W-7405-ENG-36 and KC-07-01-01), NSF(RDJ: DMS-9505077, PJS:DMS-9402763 at Courant), and ONR (KB:N00014-93-1-0240 at Caltech, RDJ:N/N00014-95-1-1145 and 91-J-4304).
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)90-0090
Air Force Office of Scientific Research (AFOSR)F49620-95-1- 0109
Air Force Office of Scientific Research (AFOSR)91-0301
Army Research Office (ARO)DAAL03-92-G-0011
Army Research Office (ARO)DAAH04-95-1-0100
Department of Energy (DOE)W-7405-ENG-36
Department of Energy (DOE)KC-07-01-01
Office of Naval Research (ONR)N00014-93-1-0240
Office of Naval Research (ONR)N/N00014-95-1-1145
Office of Naval Research (ONR)91-J-4304
Issue or Number:11
Record Number:CaltechAUTHORS:20131008-090814329
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Official Citation:K. Bhattacharya, R.D. James, P.J. Swart, Relaxation in shape-memory alloys—Part I. Mechanical model, Acta Materialia, Volume 45, Issue 11, November 1997, Pages 4547-4560, ISSN 1359-6454, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41732
Deposited By: Ruth Sustaita
Deposited On:08 Oct 2013 17:53
Last Modified:10 Nov 2021 04:33

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